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Author : Herbert Seifert
Publisher :
ISBN 13 :
Total Pages : 437 pages
Book Rating : 4.:/5 (76 download)
Download or read book A Textbook of Topology. Topology of 3-dimensional Fibered Spaces written by Herbert Seifert and published by . This book was released on 1980 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Academic Press
ISBN 13 : 9780080874050
Total Pages : 436 pages
Book Rating : 4.8/5 (74 download)
Download or read book Seifert and Threlfall, A Textbook of Topology written by and published by Academic Press. This book was released on 1980-07-04 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seifert and Threlfall, A Textbook of Topology
Author : William P. Thurston
Publisher : Princeton University Press
ISBN 13 : 1400865328
Total Pages : 323 pages
Book Rating : 4.4/5 (8 download)
Download or read book Three-Dimensional Geometry and Topology, Volume 1 written by William P. Thurston and published by Princeton University Press. This book was released on 2014-10-31 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops some of the extraordinary richness, beauty, and power of geometry in two and three dimensions, and the strong connection of geometry with topology. Hyperbolic geometry is the star. A strong effort has been made to convey not just denatured formal reasoning (definitions, theorems, and proofs), but a living feeling for the subject. There are many figures, examples, and exercises of varying difficulty. This book was the origin of a grand scheme developed by Thurston that is now coming to fruition. In the 1920s and 1930s the mathematics of two-dimensional spaces was formalized. It was Thurston's goal to do the same for three-dimensional spaces. To do this, he had to establish the strong connection of geometry to topology--the study of qualitative questions about geometrical structures. The author created a new set of concepts, and the expression "Thurston-type geometry" has become a commonplace. Three-Dimensional Geometry and Topology had its origins in the form of notes for a graduate course the author taught at Princeton University between 1978 and 1980. Thurston shared his notes, duplicating and sending them to whoever requested them. Eventually, the mailing list grew to more than one thousand names. The book is the culmination of two decades of research and has become the most important and influential text in the field. Its content also provided the methods needed to solve one of mathematics' oldest unsolved problems--the Poincaré Conjecture. In 2005 Thurston won the first AMS Book Prize, for Three-dimensional Geometry and Topology. The prize recognizes an outstanding research book that makes a seminal contribution to the research literature. Thurston received the Fields Medal, the mathematical equivalent of the Nobel Prize, in 1982 for the depth and originality of his contributions to mathematics. In 1979 he was awarded the Alan T. Waterman Award, which recognizes an outstanding young researcher in any field of science or engineering supported by the National Science Foundation.
Author : E.E. Moise
Publisher : Springer Science & Business Media
ISBN 13 : 1461299063
Total Pages : 272 pages
Book Rating : 4.4/5 (612 download)
Download or read book Geometric Topology in Dimensions 2 and 3 written by E.E. Moise and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric topology may roughly be described as the branch of the topology of manifolds which deals with questions of the existence of homeomorphisms. Only in fairly recent years has this sort of topology achieved a sufficiently high development to be given a name, but its beginnings are easy to identify. The first classic result was the SchOnflies theorem (1910), which asserts that every 1-sphere in the plane is the boundary of a 2-cell. In the next few decades, the most notable affirmative results were the "Schonflies theorem" for polyhedral 2-spheres in space, proved by J. W. Alexander [Ad, and the triangulation theorem for 2-manifolds, proved by T. Rad6 [Rd. But the most striking results of the 1920s were negative. In 1921 Louis Antoine [A ] published an extraordinary paper in which he 4 showed that a variety of plausible conjectures in the topology of 3-space were false. Thus, a (topological) Cantor set in 3-space need not have a simply connected complement; therefore a Cantor set can be imbedded in 3-space in at least two essentially different ways; a topological 2-sphere in 3-space need not be the boundary of a 3-cell; given two disjoint 2-spheres in 3-space, there is not necessarily any third 2-sphere which separates them from one another in 3-space; and so on and on. The well-known "horned sphere" of Alexander [A ] appeared soon thereafter.
Author : R. H. Bing
Publisher : American Mathematical Soc.
ISBN 13 : 0821810405
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Geometric Topology of 3-manifolds written by R. H. Bing and published by American Mathematical Soc.. This book was released on 1983-12-31 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for students and researchers in topology. this work provides the reader with an understanding of the physical properties of Euclidean 3-space - the space in which we presume we live.
Author : Jennifer Schultens
Publisher : American Mathematical Soc.
ISBN 13 : 1470410206
Total Pages : 298 pages
Book Rating : 4.4/5 (74 download)
Download or read book Introduction to 3-Manifolds written by Jennifer Schultens and published by American Mathematical Soc.. This book was released on 2014-05-21 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of a graduate course on 3-manifolds and is intended for a mathematically experienced audience that is new to low-dimensional topology. The exposition begins with the definition of a manifold, explores possible additional structures on manifolds, discusses the classification of surfaces, introduces key foundational results for 3-manifolds, and provides an overview of knot theory. It then continues with more specialized topics by briefly considering triangulations of 3-manifolds, normal surface theory, and Heegaard splittings. The book finishes with a discussion of topics relevant to viewing 3-manifolds via the curve complex. With about 250 figures and more than 200 exercises, this book can serve as an excellent overview and starting point for the study of 3-manifolds.
Author : Robert Messer
Publisher : American Mathematical Soc.
ISBN 13 : 1470447819
Total Pages : 254 pages
Book Rating : 4.4/5 (74 download)
Download or read book Topology Now! written by Robert Messer and published by American Mathematical Soc.. This book was released on 2018-10-10 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology is a branch of mathematics packed with intriguing concepts, fascinating geometrical objects, and ingenious methods for studying them. The authors have written this textbook to make the material accessible to undergraduate students without requiring extensive prerequisites in upper-level mathematics. The approach is to cultivate the intuitive ideas of continuity, convergence, and connectedness so students can quickly delve into knot theory, the topology of surfaces and three-dimensional manifolds, fixed points and elementary homotopy theory. The fundamental concepts of point-set topology appear at the end of the book when students can see how this level of abstraction provides a sound logical basis for the geometrical ideas that have come before. This organization exposes students to the exciting world of topology now(!) rather than later. Students using this textbook should have some exposure to the geometry of objects in higher-dimensional Euclidean spaces together with an appreciation of precise mathematical definitions and proofs.
Author : Richard V. Kadison
Publisher : Elsevier
ISBN 13 : 1483214095
Total Pages : 416 pages
Book Rating : 4.4/5 (832 download)
Download or read book Elementary Theory written by Richard V. Kadison and published by Elsevier. This book was released on 2016-06-03 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of the Theory of Operator Algebras, Volume I: Elementary Theory provides information pertinent to the fundamental aspects of the theory of operator algebras. This book discusses the finite-dimensional linear algebra. Organized into five chapters, this volume begins with an overview of the fundamental aspects of linear functional analysis that are needed in the study of operator algebras. This text then discusses the continuous linear operators, continuous linear functionals, weak topologies, and convexity in the context of linear topological spaces. Other chapters consider the elementary geometry of Hilbertspaces and the simplest properties of Hilbert space operators. This book discusses as well algebras that have a Banach-space structure relative to which the multiplication is continuous. The final chapter deals with those C*-algebras that are strong-operator closed in their action on some Hilbert space, which play a fundamental role in the subject. This book is a valuable resource for mathematicians.
Author :
Publisher : Academic Press
ISBN 13 : 0080874142
Total Pages : 507 pages
Book Rating : 4.0/5 (88 download)
Download or read book Linear Orderings written by and published by Academic Press. This book was released on 1982-06-01 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Orderings
Author :
Publisher : Academic Press
ISBN 13 : 0080874339
Total Pages : 292 pages
Book Rating : 4.0/5 (88 download)
Download or read book Differential Algebraic Groups written by and published by Academic Press. This book was released on 1985-01-25 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Algebraic Groups
Author :
Publisher : Academic Press
ISBN 13 : 0080874169
Total Pages : 417 pages
Book Rating : 4.0/5 (88 download)
Download or read book Fundamentals of the Theory of Operator Algebras. V1 written by and published by Academic Press. This book was released on 1983-06-29 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of the Theory of Operator Algebras. V1
Author : Francois Treves
Publisher : Academic Press
ISBN 13 : 0126994404
Total Pages : 494 pages
Book Rating : 4.1/5 (269 download)
Download or read book Basic Linear Partial Differential Equations written by Francois Treves and published by Academic Press. This book was released on 1975 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the archetypes of linear partial differential equations, this text for upper-level undergraduates and graduate students employs nontraditional methods to explain classical material. Nearly 400 exercises. 1975 edition.
Author :
Publisher : Academic Press
ISBN 13 : 0080874290
Total Pages : 317 pages
Book Rating : 4.0/5 (88 download)
Download or read book Algebra written by and published by Academic Press. This book was released on 1983-11-01 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra
Author : Albert E. Hurd
Publisher : Academic Press
ISBN 13 : 0080874371
Total Pages : 247 pages
Book Rating : 4.0/5 (88 download)
Download or read book An Introduction to Nonstandard Real Analysis written by Albert E. Hurd and published by Academic Press. This book was released on 1985-10-01 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to make Robinson's discovery, and some of the subsequent research, available to students with a background in undergraduate mathematics. In its various forms, the manuscript was used by the second author in several graduate courses at the University of Illinois at Urbana-Champaign. The first chapter and parts of the rest of the book can be used in an advanced undergraduate course. Research mathematicians who want a quick introduction to nonstandard analysis will also find it useful. The main addition of this book to the contributions of previous textbooks on nonstandard analysis (12,37,42,46) is the first chapter, which eases the reader into the subject with an elementary model suitable for the calculus, and the fourth chapter on measure theory in nonstandard models.
Author :
Publisher : Academic Press
ISBN 13 : 0080874355
Total Pages : 417 pages
Book Rating : 4.0/5 (88 download)
Download or read book Differential Manifolds and Theoretical Physics written by and published by Academic Press. This book was released on 1985-05-24 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Manifolds and Theoretical Physics
Author :
Publisher : Academic Press
ISBN 13 : 0080874266
Total Pages : 625 pages
Book Rating : 4.0/5 (88 download)
Download or read book Unified Integration written by and published by Academic Press. This book was released on 1983-12-01 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unified Integration
Author :
Publisher : Academic Press
ISBN 13 : 0080874312
Total Pages : 263 pages
Book Rating : 4.0/5 (88 download)
Download or read book The Smith Conjecture written by and published by Academic Press. This book was released on 1984-05-01 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Smith Conjecture
